posted by .

Solve the equation for all values of x.

2sin(2x)-√3=0, on the interval [0,2π).

  • Trigonometry -

    sin2x = √3/2
    so, 2x = π/3, 2π/3, 7π/3, 8π/3
    x = π/6, π/3, 7π/6, 4π/3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3π] So I need to find general solutions to solve the equation. But do I eliminate cos(x), like this... 2sin(x)cos(x)+cos(x)=0 2sin(x)cos(x)= -cos(x) 2sin(x) = …
  2. MATH

    √5sec²x-2secx=5 i have to solve this equation on the interval [0, 2π).
  3. Trig

    find all solutions to the equation √3 csc(2theta)=-2 Would the answer be π/6 + 2πn, 5π/6 +2πn or π/6 + πn, 5π/6 +πn?
  4. Trigonometry

    Stuck :( 1. Simplify (5-√-36)(2+√-1) A. 16 − 7i B. 16 + 7i C. 4 + 7i 2. Choose the point that lies on the curve r = 2 – 3 sin θ. A. (-5, 3π/3) B. (-2, π) C. (1, π/2) 3. Which of the following …
  5. Trigonometry

    IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally?
  6. Trigonometry

    Solve the equation for all values of x. -2cos²x-sin x+1=0, on the interval [0,2π).
  7. Math, please help

    Which of the following are trigonometric identities?
  8. Precalc/Trig

    Sorry there are quite a few problems, but I just need to know if these are correct (and if they aren't, where I went wrong): 1. Solve these equations. tanθ = -√3 θ = 2π/3 + kπ θ = 5π/3 + kπ …
  9. trigonometry

    solve for equation x(give answer in radians using exact values only. 2sin(x)+cot(x)-csc(x)=0
  10. trigonometry

    Solve the equation in the interval [0, 2pi]. 2sin(t)cos(t)-cos(t)+2sin(t)-1=0 Answer needs to be formatted as x={Insert answers here}pi If the answer is something like pi/6 it simply goes in as 1/6th since pi is already given at the …

More Similar Questions